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Finding the Third Proportional to 628.13 and 1,611.19

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Solution

The third proportional to 628.13 and 1,611.19 is: 4,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.13 : 1,611.19 = 1,611.19 : x
  2. Step 2: Convert to fraction form
    628.13/1,611.19 = 1,611.19/x
  3. Step 3: Cross multiply
    628.13x = 1,611.19 × 1,611.19
  4. Step 4: Simplify right side
    628.13x = 2,595,925.16
  5. Step 5: Solve for x
    x = 2,595,925.16/628.13
  6. Step 6: Final answer
    x = 4,132.82

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.